Answer:
A.2
Step-by-step explanation:
We know that |x|² = 13 and x = 3+bi:
(3+bi)² = 13
3² + b² = 13
9 + b² = 13
Subtract 9 from each side:
9 + b² - 9 = 13 - 9
b² = 4
Take the square root of each side:
√b² = √4
b = 2
Answer:
A 2
Step-by-step explanation:
Edge
The length of the diameter of a sphere is 8 inches. The volume of the sphere is
the surface area of the
sphere
Answer: 268.08 cu. in = volume
Surface area = 201.06 sq. in
Step-by-step explanation:
Volume of sphere = 4/3 pi r^3
Surface area = 4 pi r^2
Answer:
The Volume is greater than the Surface area of a sphere.
SA= 4
V= (4 x 3.14 x 4³) ÷ 3. (803.84) ÷ 3. 267.94.
SA= 4 x 3.14 x 4². (12.56)16. 200.96.
Step-by-step explanation:
ΡLΖ mark me brainliest if correct.
Please answer correctly !!!! Will mark brainliest !!!!!!
Which of the following are characteristics of the graph of the linear parent
function?
Check all that apply.
A. It is a straight line.
B. It is in quadrants II and IV.
C. It has a slope of 1.
D. It goes through the origin.
Answer: A,C, and D
Step-by-step explanation:
It is a straight line, it has a slope of 1 and it goes through the origin are the characteristics of the graph of the linear parent function
What is a function?A relation is a function if it has only One y-value for each x-value.
The linear parent function is the simplest form of a linear equation, which is y = x.
This equation has a slope of 1 and passes through the origin (0, 0).
The graph of y = x is a straight line that passes through the origin and extends infinitely in both directions.
Therefore, options A, C, and D are characteristics of the graph of the linear parent function.
Option B is not a characteristic of the linear parent function because it is not restricted to any specific quadrant; it passes through all four quadrants.
Hence, it is a straight line, it has a slope of 1 and it goes through the origin are the characteristics of the graph of the linear parent function
To learn more on Functions click:
https://brainly.com/question/30721594
#SPJ5
(b) A hairdryer connected to the mains supply takes a current of 5.5
.Which of these fuses should be (1) used with the hairdryer?
A= 3A
B= 5A
C= 7A
D= 13A
(i) Explain your answer. (1)
Answer:
C = 7A
Step-by-step explanation:
A & B would 'blow' because they are not able to carry enough current.
D is discounted , because if there was an electrical malfunction the appliance would still work, but you could get an electric shock.
Select true or false to tell whether the following disjunctions are true or false. Use the truth table if needed.
5 · 3 = 15 or 7 + 5 = 20
True
False
Answer:
false
Step-by-step explanation:
5·3=15 (5+5+5) does equal 15 BUT
7+5≠20
7+5=12
hey help please it's not too hard
Answer:
22
Step-by-step explanation:
The median is the middle number. Because the middle numbers are 21 and 23, the true middle number is what is between... 22
which of the following relations is a function ?
Answer:
B.
Step-by-step explanation:
it is a function because each x value maps to only 1 y value (3).
This is an example of a many-to-one function.
3/10
The circumference of a circle is 94.20 cm. What is the circle's
radius? (Take n = 3.14)
The radius of the circle is cm.
Enter the answer
Check it
The radius is 15 cm.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex]radius \: \: = \: 15cm[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Which of the fractions are equivalent to the fraction below?
the answer is d when you simplify the equation it will leave you with 2/3
I am a 2 dimensional shape that had 5 obtuse angles
Answer:
A pentagon.
Step-by-step explanation:
A pentagon is a 5-sided polygon. Its interior angles each are equivalent to 108°.
108° ≥ 90°, so the angles are obtuse.
Therefore, a 2-D shape with 5 obtuse angles is a pentagon.
Which of the following decimals is the smallest?
a. 0.061
b. 0.00557
C. 0.052
d. 0.0056
e. 0.0061
Answer:
B.
0.00557<0.0056<0.0061
Line up the decimal points and see which number is smallest
0.061
0.052
0.061>0.052
Hope this helps
Step-by-step explanation:
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27pie ft.
Which equation gives the volume of the sphere?
V=2/3(27pie)
V=4/3(27)
V=2/3(27)
V=4/3(27pie)
Description:
As we know that the sphere and the cylinder have the same radius and the height. Meaning
R = Radius
H = Height
V= 27 pie
Volume of the cylinder is 27 pie. We calculate the volume for the sphere and the cylinder which had the same radius and the height. And after that the answer will come. Meaning correct answer for this question is A.
Answer: V = 2/3 (27 pi)
Please mark brainliest
Hope this helps.
I need help on this.
Answer:
84
Step-by-step explanation:
you first do 15 -8
then divide it by 42
then 16 -5
then times it by 2
add 6 plus 22
which gives you 28 then times it by 3
Find the ratio a:b, if it is given that ------ 2a−3b/5 = a+b/3 PLS I really need help and the answer was not 15:14
Answer:
a:b = 14 : 15
Step-by-step explanation:
The equation is 2a−3b/5 = a+b/3
To find the ratio you will find the fraction of a/b. Therefore,
2a−3b/5 = a+b/3
(10a - 3b)/5 = (3a + b)/3
cross multiply
3(10a - 3b) = 5(3a + b)
30a - 9b = 15a + 5b
collect like terms
30a -15a - 9b - 5b = 0
15a - 14b = 0
15a = 14b
divide both sides by b
15a/b = 14
divide both sides by 15
a/b = 14/15
Therefore,
a:b = 14 : 15
Answer:
14:1
Step-by-step explanation:
this is right
What is the value of r in the equation -1.5(4-r)=-12?
–6
–4
4
6
Answer:
B -4
Step-by-step explanation:
-1.5(4 - r) = -12
Distribute -1.5.
-6 + 1.5r = -12
Add 6 to both sides.
1.5r = -6
Divide both sides by 1.5.
r = -4
Your answer is -4.
Answer:
r = -4
Step-by-step explanation:
-1.5(4-r)=-12
Divide each side by -1.5
-1.5 / -1.5 *(4-r)=-12 / -1.5
(4-r) =8
Subtract 4 from each side
4-r-4 = 8-4
-r = 4
Divide each side by -1
-r/-1 = 4/-1
r = -4
The population of a city is increasing at a rate of 4% each year. In 2000, there were 236,000 people in the city. Write an exponential growth function to model this situation. Then find the population in 2009.
Answer:
A = 236,000 (1+ 0.04)^9
335,902 people in 2009
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population (in 2000)
r = growing rate (decimal form) = 4/100 = 0.04
t= years
A = population after t years
Replacing with the values given:
A = 236,000 (1+ 0.04) ^t
To find the population in 2009:
We have to calculate the number of years passed since 2000: (2009-2000 = 9 years =t)
Substituting t=9 in the function:
A = 236,000 (1+ 0.04)^9
A =335,902 people
Feel free to ask for more if needed or if you did not understand something.
Solve the expression 8 x 5 − 12 x one third + 5 using PEMDAS
Answer:41
Step-by-step explanation: Multiplication and division goes first so 8x5=40 12x1/3=4 so 40-4+5 and you do addition and subtraction left to right 40-4=36+5=41
If the spinner is spun once, then P (landing on test postponed) is...
A)impossible
B)unlikely
C)equally likely
D)likely
E)certain
Answer:A
Step-by-step explanation:
Here is a rectangle.
4.3 cm
7 cm
7 cm
4.3 cm
The 6-sided shape is made from two of these rectangles.
Work out the perimeter of this 6-sided shap
Answer:36.6cm
Step-by-step explanation;
you can make a six sided shape by keeping the two rectangles as it makes the shape of L
perimeter = 2(4.3cm)+4(7cm)
=8.6cm=28cm
=36.6cm
The perimeter of the 6-sided shape assuming it jointly at 4.3 cm sides will be 36.6 cm.
What is the perimeter?Perimeter is the addition of an external measure of sides it will always positive.
A perimeter is a length and has a degree of the unit as one.
The perimeter of the circle = πd where d is the dia of the circle.
As per the drawn combined rectangle.
Perimeter = 2(4.3) + 4(7)
⇒ 36.6 cm
Hence "The perimeter of the 6-sided shape assuming it jointly at 4.3 cm sides will be 36.6 cm".
To learn more about Perimeter,
https://brainly.com/question/6465134
#SPJ2
what is the equation of a line that passes through the point (-3,1) and is parallel to a line with a slope of 2?
Answer:
Step-by-step explanation:
y - 1 = 2(x + 3)
y - 1 = 2x + 6
y = 2x + 7
Write the slope intercept form Through:(5,-3) and (0,0)
Answer:
y= [tex]-\frac{3}{5} x[/tex]
what percet is equivalent to 1/20 A.5% B.6% C.20 D.25%
Answer:
A. 5%
Step-by-step explanation:
1/20 can be changed into a percentage.
1/20 = 0.05
5/100 = 5%
1/20 as a percent is 5%.
Answer:
A. 5%
Step-by-step explanation:
1/20 = 0.05
0.05 * 100% = 5%
What is the slope, m, and the y-intercept of the line that is graphed below? On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3). m = 1; (0, 3) m = 1; (–3, 0) m = –1; (0, 3) m = –1; (–3, 0)
Answer:
m = 1; (0, 3) is the correct answer.
Step-by-step explanation:
The general equation of a line is given by:
[tex]y=mx+c[/tex]
where, m is the slope of line
c is the y-intercept and
(x,y) are the points from where the line passes.
We are given that the line passes through 2 points (-3,0) and (0,3).
Putting the values of (x,y) in the equation of line.
Putting (0,3):
[tex]3 = m \times 0 + c\\\Rightarrow c =3[/tex]
So, y-intercept is (0,3).
Hence, equation of line becomes:
[tex]y = mx + 3[/tex]
Putting (-3,0) in [tex]y = mx + 3[/tex]:
[tex]0 = m(-3) +3\\\Rightarrow 3m = 3\\\Rightarrow m =1[/tex]
So, the equation of line becomes:
[tex]y = x +3[/tex]
Please find attached graph.
m = 1; y intercept (0, 3) is the correct answer.
Answer:
m = 1; (0, 3)
Step-by-step explanation:
took the test!!
which expression is equivelent to (h^2+9h-1) (-4h+3) ? F. -4h^3-33h^2+31h-3 G. 4h^3 +39h^2 -23h-3 H. -4h^3-39h^2+23h+3 J.4h^3+33h^2-31h+3 please explain step by step
Answer:
F
Step-by-step explanation:
[tex](H^{2} + 9H - 1 ) . ( -4H + 3 )\\- 4H^{3} + 3H^{2} - 36H^{2} + 27H + 4H - 3 \\- 4H^{3} - 33H^{2} + 31H - 3[/tex]
Answer:
F
Step-by-step explanation:
(h² + 9h - 1)(-4h + 3)=(h² + 9h - 1)*-4h + [(h² + 9h - 1)*3]
= h²*(-4h) + 9h*(-4h) - 1*(-4h) + h²*3 + 9h*3 - 1*3
= -4h³ - 36h² + 4h + 3h² + 27h - 3 {add/subtract the like terms}
= -4h³ - 33h² + 31h - 3
What is the approximate distance between two points (3,5) and (-4,-8)
Answer:
√218
Step-by-step explanation:
we use the distance formula √(x₂-x₁)²+(y₂-y₁)²
so √(-4-3)²+(-8-5)²=6
√(-7)²+(-13)²
√218
Step-by-step explanation:
use the formula in the picture
Anjeli writes the equation (a+b)2=c2+4(12ab) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.
Answer:
Step-by-step explanation:
[tex]c^{2} = a^{2} + b^{2}[/tex]
Red area = [tex]c^{2}[/tex]
One blue triangle = ( a * b * [tex]\frac{1}{2}[/tex] )
Blue area = 4 * ( a * b * [tex]\frac{1}{2}[/tex] )
Totally area = [tex](a+b)^{2}[/tex]
Red area + blue area = totally area
[tex]c^{2}[/tex] + 4 * ( a * b * [tex]\frac{1}{2}[/tex] ) = [tex](a+b)^{2}[/tex]
Answer:
(a+b)^2 and c^2+4(1/2ab)
Step-by-step explanation:
hope that helps!!
Write log 24 in terms of log 2 and log 3.
A) log 3 + 3log 2
B) log 3 + 4log 2
C) log 3 + (log 2)3
D) 2log 3 + 2log 2
Answer:
the answer is a log 3 +3log2
Step-by-step explanation:
hey I couldn't help but notice, your test look like they are from James Madison high school. I was wondering you have done algebra 2 part 2. I'm really struggling. If you could can you comment on one of my questions to let me know. thanks
When we write Log 24 in terms of Log 2 and Log 3, the result is:
Log 3 + 3Log 2 (Option A)
Logarithm ruleLog (AB) = Log A + Log B
How to express Log 24 in terms of Log 2 and Log 3.Log 24 = Log (3 × 8)
Log 24 = Log 3 + Log 8
Recall
8 = 2³
Therefore,
Log 24 = Log 3 + Log 2³
Recall
Log Aⁿ = nLog A
Therefore,
Log 24 = Log 3 + 3Log 2
Learn more about Logarithm equation:
https://brainly.com/question/7302008
The Height of the pyramid in the diagram is three times the radius of the cone.The base area of the pyramid is the same as the base area of the cone.What is the expression for the volume of the pyramid in terms of the radius r of the cone?
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
pls help em I will give u brainiest and 100 points if u can answer this qution=2,3,4,5
Answer:
Question 1: 7/12
Question 2: 30%
Question 3: 90%
Last Question: 1 and I think they aren't complementary
if they are, sorry. its been a while
The price of a pizza with three
toppings is $12.99. Extra toppings
cost $0.60 each. Frank's bill is
$15.39. Select all equations that can
be used to determine the number of
extra toppings on Frank's pizza.
Answer:
yeah she is correct
Step-by-step explanation:
